2257405070400 has 1176 divisors, whose sum is σ = 8675132256000. Its totient is φ = 577265356800.

The previous prime is 2257405070399. The next prime is 2257405070419. The reversal of 2257405070400 is 40705047522.

It is a happy number.

2257405070400 is a `hidden beast` number, since 22 + 57 + 40 + 507 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5387601391 + ... + 5387601809.

Almost surely, 2^{2257405070400} is an apocalyptic number.

2257405070400 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 2257405070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337566128000).

2257405070400 is an abundant number, since it is smaller than the sum of its proper divisors (6417727185600).

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

2257405070400 is a wasteful number, since it uses less digits than its factorization.

2257405070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 2257405070400 in words is "two trillion, two hundred fifty-seven billion, four hundred five million, seventy thousand, four hundred".