2519940192 has 288 divisors, whose sum is σ = 8803178496. Its totient is φ = 615690240.

The previous prime is 2519940187. The next prime is 2519940221. The reversal of 2519940192 is 2910499152.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381393 + ... + 1383215.

It is an arithmetic number, because the mean of its divisors is an integer number (30566592).

Almost surely, 2^2519940192 is an apocalyptic number.

2519940192 is a gapful number since it is divisible by the number (22) 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 2519940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401589248).

2519940192 is an abundant number, since it is smaller than the sum of its proper divisors (6283238304).

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

2519940192 is a wasteful number, since it uses less digits than its factorization.

2519940192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 2519940192 is about 50199.0058865711. The cubic root of 2519940192 is about 1360.8076575198.

The spelling of 2519940192 in words is "two billion, five hundred nineteen million, nine hundred forty thousand, one hundred ninety-two".