2934890400 has 288 divisors, whose sum is σ = 10394334720. Its totient is φ = 714977280.

The previous prime is 2934890383. The next prime is 2934890417. The reversal of 2934890400 is 40984392.

It is an interprime number because it is at equal distance from previous prime (2934890383) and next prime (2934890417).

It is a super-2 number, since 2×2934890400² = 17227163320024320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 3400369 + ... + 3401231.

It is an arithmetic number, because the mean of its divisors is an integer number (36091440).

Almost surely, 2^2934890400 is an apocalyptic number.

2934890400 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 2934890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360).

2934890400 is an abundant number, since it is smaller than the sum of its proper divisors (7459444320).

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

2934890400 is a wasteful number, since it uses less digits than its factorization.

2934890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2934890400 is about 54174.6287481511. The cubic root of 2934890400 is about 1431.7393541614.

The spelling of 2934890400 in words is "two billion, nine hundred thirty-four million, eight hundred ninety thousand, four hundred".