2652271238400 has 1728 divisors, whose sum is σ = 11331210756096. Its totient is φ = 532021248000.

The previous prime is 2652271238399. The next prime is 2652271238411. The reversal of 2652271238400 is 48321722562.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2154565785 + ... + 2154567015.

It is an arithmetic number, because the mean of its divisors is an integer number (6557413632).

Almost surely, 2^{2652271238400} is an apocalyptic number.

2652271238400 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 2652271238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665605378048).

2652271238400 is an abundant number, since it is smaller than the sum of its proper divisors (8678939517696).

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

2652271238400 is a wasteful number, since it uses less digits than its factorization.

2652271238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 2652271238400 in words is "two trillion, six hundred fifty-two billion, two hundred seventy-one million, two hundred thirty-eight thousand, four hundred".