2925114209280 has 1056 divisors, whose sum is σ = 10735931621376. Its totient is φ = 735436800000.

The previous prime is 2925114209273. The next prime is 2925114209383. The reversal of 2925114209280 is 829024115292.

2925114209280 is a `hidden beast` number, since 2 + 9 + 2 + 511 + 42 + 0 + 92 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15314733985 + ... + 15314734175.

Almost surely, 2^{2925114209280} is an apocalyptic number.

2925114209280 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 2925114209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367965810688).

2925114209280 is an abundant number, since it is smaller than the sum of its proper divisors (7810817412096).

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

2925114209280 is a wasteful number, since it uses less digits than its factorization.

2925114209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2925114209280 in words is "two trillion, nine hundred twenty-five billion, one hundred fourteen million, two hundred nine thousand, two hundred eighty".