1252774640 has 80 divisors (see below), whose sum is σ = 3143028000. Its totient is φ = 461638656.

The previous prime is 1252774597. The next prime is 1252774673. The reversal of 1252774640 is 464772521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1252774594 and 1252774603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736511 + ... + 738209.

It is an arithmetic number, because the mean of its divisors is an integer number (39287850).

Almost surely, 2^1252774640 is an apocalyptic number.

1252774640 is a gapful number since it is divisible by the number (10) 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 1252774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571514000).

1252774640 is an abundant number, since it is smaller than the sum of its proper divisors (1890253360).

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

1252774640 is a wasteful number, since it uses less digits than its factorization.

1252774640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 1252774640 is about 35394.5566436423. The cubic root of 1252774640 is about 1078.0137934334.

The spelling of 1252774640 in words is "one billion, two hundred fifty-two million, seven hundred seventy-four thousand, six hundred forty".