2457742145400 has 72 divisors (see below), whose sum is σ = 8253917377680. Its totient is φ = 655397904960.

The previous prime is 2457742145389. The next prime is 2457742145429. The reversal of 2457742145400 is 45412477542.

2457742145400 is a `hidden beast` number, since 2 + 4 + 57 + 7 + 42 + 14 + 540 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 682704352 + ... + 682707951.

Almost surely, 2^{2457742145400} is an apocalyptic number.

2457742145400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2457742145400 is an abundant number, since it is smaller than the sum of its proper divisors (5796175232280).

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

2457742145400 is a wasteful number, since it uses less digits than its factorization.

2457742145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365412325 (or 1365412313 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

The spelling of 2457742145400 in words is "two trillion, four hundred fifty-seven billion, seven hundred forty-two million, one hundred forty-five thousand, four hundred".