2662961495040 has 3564 divisors, whose sum is σ = 12912845327928. Its totient is φ = 524219351040.

The previous prime is 2662961495027. The next prime is 2662961495057. The reversal of 2662961495040 is 405941692662.

2662961495040 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 96 + 1 + 49 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3564).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 140155868151 + ... + 140155868169.

Almost surely, 2^{2662961495040} is an apocalyptic number.

2662961495040 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 2662961495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456422663964).

2662961495040 is an abundant number, since it is smaller than the sum of its proper divisors (10249883832888).

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

2662961495040 is a wasteful number, since it uses less digits than its factorization.

2662961495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2662961495040 in words is "two trillion, six hundred sixty-two billion, nine hundred sixty-one million, four hundred ninety-five thousand, forty".