2457201036870 has 320 divisors, whose sum is σ = 6967316062080. Its totient is φ = 620172951552.

The previous prime is 2457201036733. The next prime is 2457201036877. The reversal of 2457201036870 is 786301027542.

2457201036870 is a `hidden beast` number, since 2 + 4 + 572 + 0 + 1 + 0 + 3 + 6 + 8 + 70 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457201036877) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 708329496 + ... + 708332964.

It is an arithmetic number, because the mean of its divisors is an integer number (21772862694).

Almost surely, 2^{2457201036870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2457201036870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483658031040).

2457201036870 is an abundant number, since it is smaller than the sum of its proper divisors (4510115025210).

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

2457201036870 is a wasteful number, since it uses less digits than its factorization.

2457201036870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2457201036870 in words is "two trillion, four hundred fifty-seven billion, two hundred one million, thirty-six thousand, eight hundred seventy".