2626961893920 has 960 divisors, whose sum is σ = 11429342217216. Its totient is φ = 553342648320.

The previous prime is 2626961893849. The next prime is 2626961893931. The reversal of 2626961893920 is 293981696262.

2626961893920 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 9 + 618 + 9 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 897491497 + ... + 897494423.

Almost surely, 2^{2626961893920} is an apocalyptic number.

2626961893920 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 2626961893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714671108608).

2626961893920 is an abundant number, since it is smaller than the sum of its proper divisors (8802380323296).

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

2626961893920 is a wasteful number, since it uses less digits than its factorization.

2626961893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 2626961893920 in words is "two trillion, six hundred twenty-six billion, nine hundred sixty-one million, eight hundred ninety-three thousand, nine hundred twenty".