2693749824 has 224 divisors, whose sum is σ = 8473196160. Its totient is φ = 836222976.

The previous prime is 2693749819. The next prime is 2693749831. The reversal of 2693749824 is 4289473962.

2693749824 is a `hidden beast` number, since 269 + 374 + 9 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×2693749824² = 14512576228600061952, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3142804 + ... + 3143660.

Almost surely, 2^2693749824 is an apocalyptic number.

2693749824 is a gapful number since it is divisible by the number (24) 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 2693749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236598080).

2693749824 is an abundant number, since it is smaller than the sum of its proper divisors (5779446336).

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

2693749824 is a wasteful number, since it uses less digits than its factorization.

2693749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 986 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2693749824 is about 51901.3470345424. The cubic root of 2693749824 is about 1391.4013478087.

The spelling of 2693749824 in words is "two billion, six hundred ninety-three million, seven hundred forty-nine thousand, eight hundred twenty-four".