2921292864 has 420 divisors, whose sum is σ = 10491849984. Its totient is φ = 787180032.

The previous prime is 2921292853. The next prime is 2921292893. The reversal of 2921292864 is 4682921292.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13099857 + ... + 13100079.

Almost surely, 2^2921292864 is an apocalyptic number.

2921292864 is a gapful number since it is divisible by the number (24) 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 2921292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245924992).

2921292864 is an abundant number, since it is smaller than the sum of its proper divisors (7570557120).

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

2921292864 is a wasteful number, since it uses less digits than its factorization.

2921292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 254 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2921292864 is about 54048.9857814187. The cubic root of 2921292864 is about 1429.5248170946.

The spelling of 2921292864 in words is "two billion, nine hundred twenty-one million, two hundred ninety-two thousand, eight hundred sixty-four".