2401097554944 has 1056 divisors, whose sum is σ = 8184174566400. Its totient is φ = 689403985920.

The previous prime is 2401097554943. The next prime is 2401097554951. The reversal of 2401097554944 is 4494557901042.

2401097554944 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 0 + 97 + 5 + 549 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401097554943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30393639897 + ... + 30393639975.

Almost surely, 2^{2401097554944} is an apocalyptic number.

2401097554944 is a gapful number since it is divisible by the number (24) 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 2401097554944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092087283200).

2401097554944 is an abundant number, since it is smaller than the sum of its proper divisors (5783077011456).

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

2401097554944 is a wasteful number, since it uses less digits than its factorization.

2401097554944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2401097554944 in words is "two trillion, four hundred one billion, ninety-seven million, five hundred fifty-four thousand, nine hundred forty-four".