1254742656 has 64 divisors (see below), whose sum is σ = 3337154400. Its totient is φ = 417715200.

The previous prime is 1254742633. The next prime is 1254742663. The reversal of 1254742656 is 6562474521.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402030 + ... + 405138.

Almost surely, 2^1254742656 is an apocalyptic number.

1254742656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1254742656 is an abundant number, since it is smaller than the sum of its proper divisors (2082411744).

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

1254742656 is a wasteful number, since it uses less digits than its factorization.

1254742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4165 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 1254742656 is about 35422.3468448944. The cubic root of 1254742656 is about 1078.5779913247.

The spelling of 1254742656 in words is "one billion, two hundred fifty-four million, seven hundred forty-two thousand, six hundred fifty-six".