2919893040 has 240 divisors, whose sum is σ = 10002859776. Its totient is φ = 763200000.

The previous prime is 2919893029. The next prime is 2919893047. The reversal of 2919893040 is 403989192.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2919893047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11632915 + ... + 11633165.

Almost surely, 2^2919893040 is an apocalyptic number.

2919893040 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 2919893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001429888).

2919893040 is an abundant number, since it is smaller than the sum of its proper divisors (7082966736).

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

2919893040 is a wasteful number, since it uses less digits than its factorization.

2919893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2919893040 is about 54036.0346435598. The cubic root of 2919893040 is about 1429.2964475619.

The spelling of 2919893040 in words is "two billion, nine hundred nineteen million, eight hundred ninety-three thousand, forty".