2612178402240 has 224 divisors, whose sum is σ = 9050591625984. Its totient is φ = 633048514560.

The previous prime is 2612178402217. The next prime is 2612178402263. The reversal of 2612178402240 is 422048712162.

It is an interprime number because it is at equal distance from previous prime (2612178402217) and next prime (2612178402263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33615912 + ... + 33693528.

Almost surely, 2^{2612178402240} is an apocalyptic number.

2612178402240 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 2612178402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525295812992).

2612178402240 is an abundant number, since it is smaller than the sum of its proper divisors (6438413223744).

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

2612178402240 is a wasteful number, since it uses less digits than its factorization.

2612178402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80835 (or 80825 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 2612178402240 in words is "two trillion, six hundred twelve billion, one hundred seventy-eight million, four hundred two thousand, two hundred forty".