2511748993540 has 48 divisors (see below), whose sum is σ = 5693799847680. Its totient is φ = 927878483840.

The previous prime is 2511748993393. The next prime is 2511748993541. The reversal of 2511748993540 is 453998471152.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (2511748993541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94130176 + ... + 94156855.

It is an arithmetic number, because the mean of its divisors is an integer number (118620830160).

Almost surely, 2^{2511748993540} is an apocalyptic number.

2511748993540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2511748993540 is an abundant number, since it is smaller than the sum of its proper divisors (3182050854140).

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

2511748993540 is a wasteful number, since it uses less digits than its factorization.

2511748993540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188287092 (or 188287090 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 2511748993540 in words is "two trillion, five hundred eleven billion, seven hundred forty-eight million, nine hundred ninety-three thousand, five hundred forty".