2661752952432 has 60 divisors (see below), whose sum is σ = 8513384446320. Its totient is φ = 760500843264.

The previous prime is 2661752952431. The next prime is 2661752952433. The reversal of 2661752952432 is 2342592571662.

2661752952432 is a `hidden beast` number, since 2 + 6 + 61 + 7 + 5 + 29 + 524 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2661752952431) and next prime (2661752952433).

It is a super-3 number, since 3×2661752952432³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661752952431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1320312957 + ... + 1320314972.

It is an arithmetic number, because the mean of its divisors is an integer number (141889740772).

Almost surely, 2^{2661752952432} is an apocalyptic number.

It is an amenable number.

2661752952432 is an abundant number, since it is smaller than the sum of its proper divisors (5851631493888).

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

2661752952432 is a wasteful number, since it uses less digits than its factorization.

2661752952432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640627950 (or 2640627941 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 2661752952432 in words is "two trillion, six hundred sixty-one billion, seven hundred fifty-two million, nine hundred fifty-two thousand, four hundred thirty-two".