2679747840 has 1152 divisors, whose sum is σ = 12715315200. Its totient is φ = 517570560.

The previous prime is 2679747803. The next prime is 2679747853. The reversal of 2679747840 is 487479762.

2679747840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50561254 + ... + 50561306.

It is an arithmetic number, because the mean of its divisors is an integer number (11037600).

Almost surely, 2^2679747840 is an apocalyptic number.

2679747840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357657600).

2679747840 is an abundant number, since it is smaller than the sum of its proper divisors (10035567360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2679747840 is a wasteful number, since it uses less digits than its factorization.

2679747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 2679747840 is about 51766.2809172148. The cubic root of 2679747840 is about 1388.9863458393.

The spelling of 2679747840 in words is "two billion, six hundred seventy-nine million, seven hundred forty-seven thousand, eight hundred forty".