2738515642401 has 96 divisors (see below), whose sum is σ = 4769366482944. Its totient is φ = 1366660627200.

The previous prime is 2738515642319. The next prime is 2738515642453. The reversal of 2738515642401 is 1042465158372.

It is not a de Polignac number, because 2738515642401 - 2⁹ = 2738515641889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2738515642001) 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, 10664746 + ... + 10918508.

It is an arithmetic number, because the mean of its divisors is an integer number (49680900864).

Almost surely, 2^{2738515642401} is an apocalyptic number.

2738515642401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2738515642401 is a deficient number, since it is larger than the sum of its proper divisors (2030850840543).

2738515642401 is a wasteful number, since it uses less digits than its factorization.

2738515642401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253963 (or 253952 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 2738515642401 in words is "two trillion, seven hundred thirty-eight billion, five hundred fifteen million, six hundred forty-two thousand, four hundred one".