2619897252140 has 288 divisors, whose sum is σ = 7066812211200. Its totient is φ = 809688337920.

The previous prime is 2619897252109. The next prime is 2619897252143. The reversal of 2619897252140 is 412527989162.

It is a super-2 number, since 2×2619897252140² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2619897252143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81781646 + ... + 81813674.

It is an arithmetic number, because the mean of its divisors is an integer number (24537542400).

Almost surely, 2^{2619897252140} is an apocalyptic number.

2619897252140 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 2619897252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533406105600).

2619897252140 is an abundant number, since it is smaller than the sum of its proper divisors (4446914959060).

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

2619897252140 is a wasteful number, since it uses less digits than its factorization.

2619897252140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32285 (or 32276 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 2619897252140 in words is "two trillion, six hundred nineteen billion, eight hundred ninety-seven million, two hundred fifty-two thousand, one hundred forty".