2519953440 has 48 divisors (see below), whose sum is σ = 7937854848. Its totient is φ = 671987456.

The previous prime is 2519953433. The next prime is 2519953441. The reversal of 2519953440 is 443599152.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2519953392 and 2519953401.

It is not an unprimeable number, because it can be changed into a prime (2519953441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2624472 + ... + 2625431.

It is an arithmetic number, because the mean of its divisors is an integer number (165371976).

Almost surely, 2^2519953440 is an apocalyptic number.

2519953440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2519953440 is an abundant number, since it is smaller than the sum of its proper divisors (5417901408).

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

2519953440 is a wasteful number, since it uses less digits than its factorization.

2519953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249921 (or 5249913 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2519953440 is about 50199.1378412020. The cubic root of 2519953440 is about 1360.8100422256.

The spelling of 2519953440 in words is "two billion, five hundred nineteen million, nine hundred fifty-three thousand, four hundred forty".