2661653030400 has 4320 divisors, whose sum is σ = 13264903491840. Its totient is φ = 502760079360.

The previous prime is 2661653030359. The next prime is 2661653030417. The reversal of 2661653030400 is 40303561662.

2661653030400 is a `hidden beast` number, since 2 + 6 + 616 + 5 + 3 + 0 + 30 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 32068108759 + ... + 32068108841.

It is an arithmetic number, because the mean of its divisors is an integer number (3070579512).

Almost surely, 2^{2661653030400} is an apocalyptic number.

2661653030400 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 2661653030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632451745920).

2661653030400 is an abundant number, since it is smaller than the sum of its proper divisors (10603250461440).

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

2661653030400 is a wasteful number, since it uses less digits than its factorization.

2661653030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2661653030400 in words is "two trillion, six hundred sixty-one billion, six hundred fifty-three million, thirty thousand, four hundred".