2612541899440 has 160 divisors (see below), whose sum is σ = 6667462397952. Its totient is φ = 944131584000.

The previous prime is 2612541899423. The next prime is 2612541899447. The reversal of 2612541899440 is 449981452162.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (2612541899447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188746920 + ... + 188760760.

Almost surely, 2^{2612541899440} is an apocalyptic number.

2612541899440 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 2612541899440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333731198976).

2612541899440 is an abundant number, since it is smaller than the sum of its proper divisors (4054920498512).

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

2612541899440 is a wasteful number, since it uses less digits than its factorization.

2612541899440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15179 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 2612541899440 in words is "two trillion, six hundred twelve billion, five hundred forty-one million, eight hundred ninety-nine thousand, four hundred forty".